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The PEST Algorithm
2-33
Transient, Three-Dimensional, Ground-Water Flow Model using Nonlinear Regression. U. S.
Geological Survey Open-File Report 91-484.
Hill, M.C., 1998. Methods and Guidelines for Effective Model Calibration. U.S. Geological
Survey Water-Resources Investigations Report 98-4005.
Marquardt, D. W., 1963. An algorithm for least-squares estimation of nonlinear parameters.
Journal of the Society of Industrial and Applied Mathematics, v11, no. 2, p431-441.
Levenberg, K., 1944. A method for the solution of certain non-linear problems in least
squares. Q. Appl. Math., v. 2, p164-168.
Vecchia, A.V. and Cooley, R.L., 1987. Simultaneous confidence and prediction intervals for
nonlinear regression models with application to a ground water flow model. Water Resources
Research, vol. 23, no. 7, pp1237-1250.
2.4.2 Some Further Reading
Bard, Jonathon, 1974. Nonlinear parameter estimation. Academic Press, NY. 341p.
Koch, K., 1988. Parameter Estimation and Hypothesis Testing in Linear Models. SpringerVerlag, Berlin. 377p.
Mikhail, E. M., 1976. Observations and Least Squares. IEP, NY. 497p.
Nash, J. C. and Walker-Smith, M., 1987. Nonlinear Parameter Estimation; an Integrated
System in Basic. Marcel Dekker Inc., Monticello, NY. 493p.